Edit Profile (opens in new tab) Kuznetsov, Aleksandr Gennad’evich Co-Author Distance Author ID: kuznetsov.alexander-gennadevich Published as: Kuznetsov, Alexander; Kuznetsov, A. G.; Kuznetsov, A.; Kuznetsov, Alexander G. more...less Further Spellings: Кузнецов Александр Геннадьевич Homepage: https://www.hse.ru/en/org/persons/26335189 External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef Videos: carmin.tv Awards: EMS Prize (2008) Documents Indexed: 90 Publications since 1994, including 14 Additional arXiv Preprints 2 Further Contributions Co-Authors: 30 Co-Authors with 52 Joint Publications 874 Co-Co-Authors all top 5 Co-Authors 36 single-authored 10 Finkelberg, Michael Vladlenovich 7 Debarre, Olivier 7 Prokhorov, Yuriĭ Gennad’evich 6 Perry, Alexander R. 5 Mirković, Ivan 5 Shinder, Evgeny 4 Smirnov, Maxim 3 Ginzburg, Victor 2 Baranovsky, Vladimir 2 Markarian, Nikita 2 Markushevich, Dimitri Genrikhovich 2 Pak, Igor 2 Postnikov, Alexander E. 2 Shramov, Konstantin Aleksandrovich 1 Aleksanian, S. 1 Bayer, Arend 1 Beauville, Arnaud 1 Belmans, Pieter 1 Cheltsov, Ivan Anatol’evich 1 Dobrovolska, Galyna 1 Feĭgin, Boris L’vovich 1 Fonarev, Anton 1 Gaitsgory, Dennis 1 Hassett, Brendan 1 Ingalls, Colin 1 Ionov, Andrei 1 Kaledin, Dmitry B. 1 Kalmykov, Sergeĭ Ivanovich 1 Kapustin, Anton 1 Karmazyn, Joseph 1 Karp, Dmitriĭ Borisovich 1 Lunts, Valery A. 1 Macrì, Emanuele 1 Manivel, Laurent 1 Mellit, Anton S. 1 Morales, John Alexander Cruz 1 Orlov, Dmitri O. 1 Pardini, Rita 1 Perrin, Nicolas 1 Pirola, Gian Pietro 1 Polishchuk, Alexander Evgen’evich 1 Rybnikov, Leonid Grigor’evich 1 Verra, Alessandro all top 5 Serials 5 Selecta Mathematica. New Series 5 Izvestiya: Mathematics 4 Compositio Mathematica 4 IMRN. International Mathematics Research Notices 3 Communications in Mathematical Physics 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Épijournal de Géométrie Algébrique. EPIGA 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Mathematical Research Letters 2 Sbornik: Mathematics 2 Journal of the European Mathematical Society (JEMS) 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Journal of Algebraic Geometry 1 Integral Transforms and Special Functions 1 Transformation Groups 1 The Ramanujan Journal 1 Geometry & Topology 1 Communications in Contemporary Mathematics 1 Moscow Mathematical Journal 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Lecture Notes in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Kyoto Journal of Mathematics 1 Algebraic Geometry all top 5 Fields 72 Algebraic geometry (14-XX) 20 Category theory; homological algebra (18-XX) 4 Number theory (11-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 1,597 times in 724 Documents Cited by ▼ Year ▼ Derived categories of cubic fourfolds. Zbl 1202.14012 Kuznetsov, Alexander 109 2010 Homological projective duality. Zbl 1131.14017 Kuznetsov, Alexander 93 2007 Derived categories of quadric fibrations and intersections of quadrics. Zbl 1168.14012 Kuznetsov, Alexander 83 2008 Hyperplane sections and derived categories. Zbl 1133.14016 Kuznetsov, A. G. 77 2006 Semiorthogonal decompositions in algebraic geometry. Zbl 1373.18009 Kuznetsov, Alexander 68 2014 Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031 Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A. 64 2018 Categorical resolutions of irrational singularities. Zbl 1338.14020 Kuznetsov, Alexander; Lunts, Valery A. 55 2015 Calabi-Yau and fractional Calabi-Yau categories. Zbl 1440.14092 Kuznetsov, Alexander 54 2019 Base change for semiorthogonal decompositions. Zbl 1218.18009 Kuznetsov, Alexander 52 2011 Gushel-Mukai varieties: classification and birationalities. Zbl 1408.14053 Debarre, Olivier; Kuznetsov, Alexander 52 2018 Lefschetz decompositions and categorical resolutions of singularities. Zbl 1156.18006 Kuznetsov, Alexander 51 2007 Noncommutative instantons and twistor transform. Zbl 0989.81127 Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri 48 2001 Derived categories of cubic and \(V_{14}\) threefolds. Zbl 1107.14028 Kuznetsov, A. G. 42 2004 Derived categories of Gushel-Mukai varieties. Zbl 1401.14181 Kuznetsov, Alexander; Perry, Alexander 38 2018 Derived categories view on rationality problems. Zbl 1368.14029 Kuznetsov, Alexander 36 2016 Exceptional collections for Grassmannians of isotropic lines. Zbl 1168.14032 Kuznetsov, Alexander 33 2008 Instanton bundles on Fano threefolds. Zbl 1282.14075 Kuznetsov, Alexander 32 2012 Symplectic structures on moduli spaces of sheaves via the Atiyah class. Zbl 1181.14049 Kuznetsov, A.; Markushevich, D. 31 2009 Derived categories of Fano threefolds. Zbl 1312.14055 Kuznetsov, A. G. 31 2009 Increasing trees and alternating permutations. Zbl 0842.05025 Kuznetsov, A. G.; Pak, I. M.; Postnikov, A. E. 29 1994 Semi-infinite flags. II: Local and global intersection cohomology of quasimaps spaces. Zbl 1076.14511 Feigin, Boris; Finkelberg, Michael; Kuznetsov, Alexander; Mirković, Ivan 25 1999 Quiver varieties and Hilbert schemes. Zbl 1142.14009 Kuznetsov, Alexander 25 2007 Gushel-Mukai varieties: linear spaces and periods. Zbl 1440.14053 Debarre, Olivier; Kuznetsov, Alexander 23 2019 Height of exceptional collections and Hochschild cohomology of quasiphantom categories. Zbl 1331.14024 Kuznetsov, Alexander 23 2015 Gushel-Mukai varieties: moduli. Zbl 1467.14031 Debarre, Olivier; Kuznetsov, Alexander 22 2020 Küchle fivefolds of type c5. Zbl 1352.14029 Kuznetsov, Alexander 22 2016 Exceptional collections on isotropic Grassmannians. Zbl 1338.14021 Kuznetsov, Alexander; Polishchuk, Alexander 22 2016 Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics. Zbl 1450.11036 Kuznetsov, Alexander; Shinder, Evgeny 19 2018 On Küchle varieties with Picard number greater than 1. Zbl 1342.14087 Kuznetsov, A. G. 19 2015 On nodal Enriques surfaces and quartic double solids. Zbl 1408.14069 Ingalls, Colin; Kuznetsov, Alexander 18 2015 Derived categories of curves as components of Fano manifolds. Zbl 1468.14037 Fonarev, Anton; Kuznetsov, Alexander 18 2018 Derived categories of cyclic covers and their branch divisors. Zbl 1365.14021 Kuznetsov, Alexander; Perry, Alexander 17 2017 Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds. Zbl 1423.14128 Kuznetsov, Alexander 16 2018 Wilson’s Grassmannian and a noncommutative quadric. Zbl 1059.58006 Baranovsky, Vladimir; Ginzburg, Victor; Kuznetsov, Alexander 14 2003 On residual categories for Grassmannians. Zbl 1493.14078 Kuznetsov, Alexander; Smirnov, Maxim 14 2020 On linear sections of the spinor tenfold. I. Zbl 1420.14094 Kuznetsov, A. G. 14 2018 Derived categories of families of sextic del Pezzo surfaces. Zbl 1503.14032 Kuznetsov, Alexander 14 2021 Quiver varieties and a noncommutative \(\mathbb P_2\). Zbl 1048.14001 Baranovsky, V.; Ginzburg, V.; Kuznetsov, A. 13 2002 Derived categories of Fano threefolds \(V_{12}\). Zbl 1111.14038 Kuznetsov, A. G. 11 2005 Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category. Zbl 1295.14018 Kuznetsov, Alexander 11 2014 Derived categories of singular surfaces. Zbl 1493.14023 Karmazyn, Joseph; Kuznetsov, Alexander; Shinder, Evgeny 11 2022 Categorical joins. Zbl 1484.14002 Kuznetsov, Alexander; Perry, Alexander 11 2021 Homological projective duality for quadrics. Zbl 1485.14030 Kuznetsov, Alexander; Perry, Alexander 10 2021 A note on a symplectic structure on the space of \(G\)-monopoles. Zbl 0981.53083 Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan 10 1999 Prime Fano threefolds of genus 12 with a \(\mathbb{G}_m\)-action. (Solides de Fano primitifs de genre 12 avec action de \(\mathbb{G}_m\) et leurs automorphismes.) Zbl 1411.14046 Kuznetsov, Alexander; Prokhorov, Yuri 10 2018 Global intersection cohomology of quasimaps’ spaces. Zbl 0890.14007 Finkelberg, Michael; Kuznetsov, Alexander 8 1997 Double covers of quadratic degeneracy and Lagrangian intersection loci. Zbl 1468.14027 Debarre, Olivier; Kuznetsov, Alexander 8 2020 Gushel-Mukai varieties: intermediate Jacobians. (Variétés de Gushel-Mukai: jacobiennes intermédiaires.) Zbl 1457.14092 Debarre, Olivier; Kuznetsov, Alexander 8 2020 Categorical cones and quadratic homological projective duality. Zbl 1525.14023 Kuznetsov, Alexander; Perry, Alexander 8 2023 Laumon’s resolution of Drinfeld’s compactification is small. Zbl 0910.14026 Kuznetsov, Alexander 7 1997 Exceptional collections in surface-like categories. Zbl 1398.14026 Kuznetsov, Alexander G. 7 2017 Uhlenbeck spaces for \(\mathbb{A}^2\) and affine Lie algebra \(\widehat {\mathfrak {sl}}_n\). Zbl 1101.14014 Finkelberg, Michael; Gaitsgory, Dennis; Kuznetsov, Alexander 6 2003 On quantum cohomology of Grassmannians of isotropic lines, unfoldings of \(A_n\)-singularities, and Lefschetz exceptional collections. (Sur la cohomologie quantique des grassmanniennes de droites isotropes, le déploiement de singularités de type \(A_n\) et les collections de Lefschetz exceptionnelles.) Zbl 1440.14249 Cruz Morales, John Alexander; Mellit, Anton; Perrin, Nicolas; Smirnov, Maxim 6 2019 Residual categories for (co)adjoint Grassmannians in classical types. Zbl 1476.14044 Kuznetsov, Alexander; Smirnov, Maxim 6 2021 Trees associated with the Motzkin numbers. Zbl 0860.05003 Kuznetsov, Alexander; Pak, Igor; Postnikov, Alexander 5 1996 Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds. Zbl 0913.14010 Kuznetsov, A. G. 5 1996 Coble fourfold, \(\mathfrak{S}_6\)-invariant quartic threefolds, and Wiman-Edge sextics. Zbl 1458.14019 Cheltsov, Ivan; Kuznetsov, Alexander; Shramov, Konstantin 5 2020 Towards a cluster structure on trigonometric zastava. Zbl 1423.13122 Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna 5 2018 Embedding derived categories of Enriques surfaces in derived categories of Fano varieties. Zbl 1427.14040 Kuznetsov, A. G. 5 2019 Abel-Jacobi maps for hypersurfaces and noncommutative Calabi-Yau’s. Zbl 1201.14031 Kuznetsov, Alexander; Manivel, Laurent; Markushevich, Dmitri 4 2010 Rationality of Fano threefolds over non-closed fields. Zbl 1525.14022 Kuznetsov, Alexander; Prokhorov, Yuri 4 2023 Erratum to: “A note on a symplectic structure on the space of \(G\)-monopoles”. Zbl 1315.53095 Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan 3 2015 Categorical absorptions of singularities and degenerations. Zbl 1545.14026 Kuznetsov, Alexander; Shinder, Evgeny 3 2023 Rationality of Mukai varieties over non-closed fields. Zbl 1497.14027 Kuznetsov, Alexander; Prokhorov, Yuri 3 2021 Rationality problems in algebraic geometry. Levico Terme, Italy, June 22–27 2015. Lectures of the CIME-CIRM course. Zbl 1364.14001 2 2016 On higher-dimensional del Pezzo varieties. Zbl 1540.14083 Kuznetsov, Alexander G.; Prokhorov, Yuri G. 2 2023 Parabolic sheaves on surfaces and affine Lie algebra \(\widehat{{\mathfrak gl}}_n\). Zbl 0999.17034 Finkelberg, Michael; Kuznetsov, Alexander 1 2000 Refined blowups. Zbl 1359.14017 Kaledin, D.; Kuznetsov, A. 1 2015 Rationality over nonclosed fields of Fano threefolds with higher geometric Picard rank. Zbl 1536.14010 Kuznetsov, Alexander; Prokhorov, Yuri 1 2024 Derived categories of the Cayley plane and the coadjoint Grassmannian of type F. Zbl 1517.14031 Belmans, Pieter; Kuznetsov, Alexander; Smirnov, Maxim 1 2023 Simultaneous categorical resolutions. Zbl 1487.14043 Kuznetsov, Alexander 1 2022 Rationality over nonclosed fields of Fano threefolds with higher geometric Picard rank. Zbl 1536.14010 Kuznetsov, Alexander; Prokhorov, Yuri 1 2024 Categorical cones and quadratic homological projective duality. Zbl 1525.14023 Kuznetsov, Alexander; Perry, Alexander 8 2023 Rationality of Fano threefolds over non-closed fields. Zbl 1525.14022 Kuznetsov, Alexander; Prokhorov, Yuri 4 2023 Categorical absorptions of singularities and degenerations. Zbl 1545.14026 Kuznetsov, Alexander; Shinder, Evgeny 3 2023 On higher-dimensional del Pezzo varieties. Zbl 1540.14083 Kuznetsov, Alexander G.; Prokhorov, Yuri G. 2 2023 Derived categories of the Cayley plane and the coadjoint Grassmannian of type F. Zbl 1517.14031 Belmans, Pieter; Kuznetsov, Alexander; Smirnov, Maxim 1 2023 Derived categories of singular surfaces. Zbl 1493.14023 Karmazyn, Joseph; Kuznetsov, Alexander; Shinder, Evgeny 11 2022 Simultaneous categorical resolutions. Zbl 1487.14043 Kuznetsov, Alexander 1 2022 Derived categories of families of sextic del Pezzo surfaces. Zbl 1503.14032 Kuznetsov, Alexander 14 2021 Categorical joins. Zbl 1484.14002 Kuznetsov, Alexander; Perry, Alexander 11 2021 Homological projective duality for quadrics. Zbl 1485.14030 Kuznetsov, Alexander; Perry, Alexander 10 2021 Residual categories for (co)adjoint Grassmannians in classical types. Zbl 1476.14044 Kuznetsov, Alexander; Smirnov, Maxim 6 2021 Rationality of Mukai varieties over non-closed fields. Zbl 1497.14027 Kuznetsov, Alexander; Prokhorov, Yuri 3 2021 Gushel-Mukai varieties: moduli. Zbl 1467.14031 Debarre, Olivier; Kuznetsov, Alexander 22 2020 On residual categories for Grassmannians. Zbl 1493.14078 Kuznetsov, Alexander; Smirnov, Maxim 14 2020 Double covers of quadratic degeneracy and Lagrangian intersection loci. Zbl 1468.14027 Debarre, Olivier; Kuznetsov, Alexander 8 2020 Gushel-Mukai varieties: intermediate Jacobians. (Variétés de Gushel-Mukai: jacobiennes intermédiaires.) Zbl 1457.14092 Debarre, Olivier; Kuznetsov, Alexander 8 2020 Coble fourfold, \(\mathfrak{S}_6\)-invariant quartic threefolds, and Wiman-Edge sextics. Zbl 1458.14019 Cheltsov, Ivan; Kuznetsov, Alexander; Shramov, Konstantin 5 2020 Calabi-Yau and fractional Calabi-Yau categories. Zbl 1440.14092 Kuznetsov, Alexander 54 2019 Gushel-Mukai varieties: linear spaces and periods. Zbl 1440.14053 Debarre, Olivier; Kuznetsov, Alexander 23 2019 On quantum cohomology of Grassmannians of isotropic lines, unfoldings of \(A_n\)-singularities, and Lefschetz exceptional collections. (Sur la cohomologie quantique des grassmanniennes de droites isotropes, le déploiement de singularités de type \(A_n\) et les collections de Lefschetz exceptionnelles.) Zbl 1440.14249 Cruz Morales, John Alexander; Mellit, Anton; Perrin, Nicolas; Smirnov, Maxim 6 2019 Embedding derived categories of Enriques surfaces in derived categories of Fano varieties. Zbl 1427.14040 Kuznetsov, A. G. 5 2019 Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031 Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A. 64 2018 Gushel-Mukai varieties: classification and birationalities. Zbl 1408.14053 Debarre, Olivier; Kuznetsov, Alexander 52 2018 Derived categories of Gushel-Mukai varieties. Zbl 1401.14181 Kuznetsov, Alexander; Perry, Alexander 38 2018 Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics. Zbl 1450.11036 Kuznetsov, Alexander; Shinder, Evgeny 19 2018 Derived categories of curves as components of Fano manifolds. Zbl 1468.14037 Fonarev, Anton; Kuznetsov, Alexander 18 2018 Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds. Zbl 1423.14128 Kuznetsov, Alexander 16 2018 On linear sections of the spinor tenfold. I. Zbl 1420.14094 Kuznetsov, A. G. 14 2018 Prime Fano threefolds of genus 12 with a \(\mathbb{G}_m\)-action. (Solides de Fano primitifs de genre 12 avec action de \(\mathbb{G}_m\) et leurs automorphismes.) Zbl 1411.14046 Kuznetsov, Alexander; Prokhorov, Yuri 10 2018 Towards a cluster structure on trigonometric zastava. Zbl 1423.13122 Finkelberg, Michael; Kuznetsov, Alexander; Rybnikov, Leonid; Dobrovolska, Galyna 5 2018 Derived categories of cyclic covers and their branch divisors. Zbl 1365.14021 Kuznetsov, Alexander; Perry, Alexander 17 2017 Exceptional collections in surface-like categories. Zbl 1398.14026 Kuznetsov, Alexander G. 7 2017 Derived categories view on rationality problems. Zbl 1368.14029 Kuznetsov, Alexander 36 2016 Küchle fivefolds of type c5. Zbl 1352.14029 Kuznetsov, Alexander 22 2016 Exceptional collections on isotropic Grassmannians. Zbl 1338.14021 Kuznetsov, Alexander; Polishchuk, Alexander 22 2016 Rationality problems in algebraic geometry. Levico Terme, Italy, June 22–27 2015. Lectures of the CIME-CIRM course. Zbl 1364.14001 2 2016 Categorical resolutions of irrational singularities. Zbl 1338.14020 Kuznetsov, Alexander; Lunts, Valery A. 55 2015 Height of exceptional collections and Hochschild cohomology of quasiphantom categories. Zbl 1331.14024 Kuznetsov, Alexander 23 2015 On Küchle varieties with Picard number greater than 1. Zbl 1342.14087 Kuznetsov, A. G. 19 2015 On nodal Enriques surfaces and quartic double solids. Zbl 1408.14069 Ingalls, Colin; Kuznetsov, Alexander 18 2015 Erratum to: “A note on a symplectic structure on the space of \(G\)-monopoles”. Zbl 1315.53095 Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan 3 2015 Refined blowups. Zbl 1359.14017 Kaledin, D.; Kuznetsov, A. 1 2015 Semiorthogonal decompositions in algebraic geometry. Zbl 1373.18009 Kuznetsov, Alexander 68 2014 Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category. Zbl 1295.14018 Kuznetsov, Alexander 11 2014 Instanton bundles on Fano threefolds. Zbl 1282.14075 Kuznetsov, Alexander 32 2012 Base change for semiorthogonal decompositions. Zbl 1218.18009 Kuznetsov, Alexander 52 2011 Derived categories of cubic fourfolds. Zbl 1202.14012 Kuznetsov, Alexander 109 2010 Abel-Jacobi maps for hypersurfaces and noncommutative Calabi-Yau’s. Zbl 1201.14031 Kuznetsov, Alexander; Manivel, Laurent; Markushevich, Dmitri 4 2010 Symplectic structures on moduli spaces of sheaves via the Atiyah class. Zbl 1181.14049 Kuznetsov, A.; Markushevich, D. 31 2009 Derived categories of Fano threefolds. Zbl 1312.14055 Kuznetsov, A. G. 31 2009 Derived categories of quadric fibrations and intersections of quadrics. Zbl 1168.14012 Kuznetsov, Alexander 83 2008 Exceptional collections for Grassmannians of isotropic lines. Zbl 1168.14032 Kuznetsov, Alexander 33 2008 Homological projective duality. Zbl 1131.14017 Kuznetsov, Alexander 93 2007 Lefschetz decompositions and categorical resolutions of singularities. Zbl 1156.18006 Kuznetsov, Alexander 51 2007 Quiver varieties and Hilbert schemes. Zbl 1142.14009 Kuznetsov, Alexander 25 2007 Hyperplane sections and derived categories. Zbl 1133.14016 Kuznetsov, A. G. 77 2006 Derived categories of Fano threefolds \(V_{12}\). Zbl 1111.14038 Kuznetsov, A. G. 11 2005 Derived categories of cubic and \(V_{14}\) threefolds. Zbl 1107.14028 Kuznetsov, A. G. 42 2004 Wilson’s Grassmannian and a noncommutative quadric. Zbl 1059.58006 Baranovsky, Vladimir; Ginzburg, Victor; Kuznetsov, Alexander 14 2003 Uhlenbeck spaces for \(\mathbb{A}^2\) and affine Lie algebra \(\widehat {\mathfrak {sl}}_n\). Zbl 1101.14014 Finkelberg, Michael; Gaitsgory, Dennis; Kuznetsov, Alexander 6 2003 Quiver varieties and a noncommutative \(\mathbb P_2\). Zbl 1048.14001 Baranovsky, V.; Ginzburg, V.; Kuznetsov, A. 13 2002 Noncommutative instantons and twistor transform. Zbl 0989.81127 Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri 48 2001 Parabolic sheaves on surfaces and affine Lie algebra \(\widehat{{\mathfrak gl}}_n\). Zbl 0999.17034 Finkelberg, Michael; Kuznetsov, Alexander 1 2000 Semi-infinite flags. II: Local and global intersection cohomology of quasimaps spaces. Zbl 1076.14511 Feigin, Boris; Finkelberg, Michael; Kuznetsov, Alexander; Mirković, Ivan 25 1999 A note on a symplectic structure on the space of \(G\)-monopoles. Zbl 0981.53083 Finkelberg, Michael; Kuznetsov, Alexander; Markarian, Nikita; Mirković, Ivan 10 1999 Global intersection cohomology of quasimaps’ spaces. Zbl 0890.14007 Finkelberg, Michael; Kuznetsov, Alexander 8 1997 Laumon’s resolution of Drinfeld’s compactification is small. Zbl 0910.14026 Kuznetsov, Alexander 7 1997 Trees associated with the Motzkin numbers. Zbl 0860.05003 Kuznetsov, Alexander; Pak, Igor; Postnikov, Alexander 5 1996 Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds. Zbl 0913.14010 Kuznetsov, A. G. 5 1996 Increasing trees and alternating permutations. Zbl 0842.05025 Kuznetsov, A. G.; Pak, I. M.; Postnikov, A. E. 29 1994 all cited Publications top 5 cited Publications all top 5 Cited by 674 Authors 40 Kuznetsov, Aleksandr Gennad’evich 17 Finkelberg, Michael Vladlenovich 17 Laterveer, Robert 15 Tabuada, Gonçalo 12 Katzarkov, Ludmil 12 Manivel, Laurent 12 Perry, Alexander R. 12 Prokhorov, Yuriĭ Gennad’evich 11 Van den Bergh, Michel 10 Bernardara, Marcello 10 Shinder, Evgeny 9 Belmans, Pieter 9 Faenzi, Daniele 9 Fatighenti, Enrico 9 Macrì, Emanuele 9 Pertusi, Laura 9 Sharpe, Eric R. 9 Shramov, Konstantin Aleksandrovich 9 Stellari, Paolo 8 Ballard, Matthew Robert 8 Lee, Kyoung-Seog 7 Debarre, Olivier 7 Krug, Andreas 7 Polishchuk, Alexander Evgen’evich 7 Staglianò, Giovanni 7 Szabo, Richard J. 7 Zhao, Xiaolei 6 Bolognesi, Michele 6 Casnati, Gianfranco 6 Chung, Kiryong 6 Efimov, Alexander I. 6 Favero, David 6 Fonarev, Anton 6 Huybrechts, Daniel 6 Kapustka, Michał 6 Malaspina, Francesco 6 Mongardi, Giovanni 6 Neeman, Amnon 6 Przhiyalkovskiĭ, Viktor Vladimirovich 6 Rybnikov, Leonid Grigor’evich 6 Zhang, Shizhuo 5 Addington, Nicolas M. 5 Bayer, Arend 5 Benedetti, Vladimiro 5 Böhning, Christian 5 Borisov, Lev A. 5 Braverman, Alexander 5 Bruzzo, Ugo 5 Cheltsov, Ivan Anatol’evich 5 Fu, Lie 5 Graf von Bothmer, Hans-Christian 5 Hassett, Brendan 5 Lin, Xun 5 Rennemo, Jørgen Vold 5 Sosna, Pawel 5 Takagi, Hiromichi 5 Thomas, Richard Paul 5 Vial, Charles 5 Voisin, Claire 5 Weekes, Alex 5 Zaidenberg, Mikhail G. 4 Abuaf, Roland 4 Antonelli, Vincenzo 4 Auel, Asher Natan 4 Bartocci, Claudio 4 Chalykh, Oleg A. 4 Donovan, Will 4 Gaitsgory, Dennis 4 Ginzburg, Victor 4 Hara, Wahei 4 Hosono, Shinobu 4 Kalck, Martin 4 Kapustka, Grzegorz 4 Kato, Syu 4 Li, Chunyi 4 Liu, Zhiyu 4 Meachan, Ciaran 4 Nevins, Thomas Andrew 4 Nuer, Howard J. 4 Ouchi, Genki 4 Rampazzo, Marco 4 Rava, Claudio L. S. 4 Segal, Ed 4 Špenko, Špela 4 Tschinkel, Yuri 3 Berest, Yuri Yu. 3 Burban, Igor 3 Costa, Laura 3 Craw, Alastair 3 Drozd, Yuriĭ Anatoliĭovych 3 Farb, Benson 3 Feĭgin, Boris L’vovich 3 Fukuoka, Takeru 3 Galkin, Sergeĭ 3 Genç, Özhan 3 Giovenzana, Franco 3 Gorchinskiĭ, Sergeĭ Olegovich 3 Guseva, Lyalya A. 3 Hamanaka, Masashi 3 Harder, Andrew ...and 574 more Authors all top 5 Cited in 151 Serials 64 Advances in Mathematics 31 Mathematische Zeitschrift 26 Journal of Pure and Applied Algebra 23 Journal of Algebra 20 Journal of Geometry and Physics 20 Compositio Mathematica 19 Selecta Mathematica. New Series 16 Journal für die Reine und Angewandte Mathematik 15 Journal of High Energy Physics 13 Communications in Mathematical Physics 13 Manuscripta Mathematica 12 Mathematische Annalen 12 Journal of the European Mathematical Society (JEMS) 12 European Journal of Mathematics 11 Mathematische Nachrichten 11 Proceedings of the American Mathematical Society 9 Annales de l’Institut Fourier 9 Inventiones Mathematicae 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Journal of Algebraic Geometry 8 Bulletin of the London Mathematical Society 8 Duke Mathematical Journal 8 Journal of the London Mathematical Society. Second Series 8 Transactions of the American Mathematical Society 7 Journal of the American Mathematical Society 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Noncommutative Geometry 6 Russian Mathematical Surveys 6 Advances in Applied Mathematics 6 International Journal of Mathematics 6 Izvestiya: Mathematics 6 Geometry & Topology 6 Algebras and Representation Theory 6 Advances in Geometry 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Publications Mathématiques 5 Sbornik: Mathematics 5 Documenta Mathematica 5 Oberwolfach Reports 5 Kyoto Journal of Mathematics 5 Forum of Mathematics, Sigma 4 International Journal of Modern Physics A 4 Mathematical Notes 4 Journal of Combinatorial Theory. Series A 4 Proceedings of the London Mathematical Society. Third Series 4 Transformation Groups 4 Central European Journal of Mathematics 4 Journal of the Institute of Mathematics of Jussieu 4 Proceedings of the Steklov Institute of Mathematics 4 Research in the Mathematical Sciences 3 Discrete Mathematics 3 Letters in Mathematical Physics 3 Physics Letters. B 3 Collectanea Mathematica 3 Commentarii Mathematici Helvetici 3 Geometriae Dedicata 3 Michigan Mathematical Journal 3 European Journal of Combinatorics 3 Bulletin of the Korean Mathematical Society 3 Revista Matemática Iberoamericana 3 Linear Algebra and its Applications 3 Communications in Contemporary Mathematics 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Algebra & Number Theory 3 Journal of Topology 3 Science China. Mathematics 3 Journal de l’École Polytechnique – Mathématiques 3 Annals of \(K\)-Theory 2 Communications in Algebra 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Reviews in Mathematical Physics 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the Mathematical Society of Japan 2 Le Matematiche 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tokyo Journal of Mathematics 2 Forum Mathematicum 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 Annals of Mathematics. Second Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Mediterranean Journal of Mathematics 2 Bollettino dell’Unione Matematica Italiana 1 Bulletin of the Australian Mathematical Society 1 General Relativity and Gravitation 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg ...and 51 more Serials all top 5 Cited in 41 Fields 622 Algebraic geometry (14-XX) 139 Category theory; homological algebra (18-XX) 72 Associative rings and algebras (16-XX) 69 Quantum theory (81-XX) 47 Differential geometry (53-XX) 35 Combinatorics (05-XX) 34 Nonassociative rings and algebras (17-XX) 32 Commutative algebra (13-XX) 28 Number theory (11-XX) 25 Several complex variables and analytic spaces (32-XX) 24 \(K\)-theory (19-XX) 15 Group theory and generalizations (20-XX) 12 Topological groups, Lie groups (22-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Manifolds and cell complexes (57-XX) 7 Special functions (33-XX) 7 Relativity and gravitational theory (83-XX) 6 General and overarching topics; collections (00-XX) 6 Computer science (68-XX) 5 Algebraic topology (55-XX) 4 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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